Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ey |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8429568 |
Modular degree for the optimal curve |
Δ |
1.0195176930782E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46952928,123719748081] |
[a1,a2,a3,a4,a6] |
j |
778419129671687951621/693260592493392 |
j-invariant |
L |
2.0460694160823 |
L(r)(E,1)/r! |
Ω |
0.12787933978506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850cx1 11550co1 |
Quadratic twists by: 5 -7 |